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Stability and Hopf Bifurcation in a Modified Sprott C System Cover

Stability and Hopf Bifurcation in a Modified Sprott C System

Open Access
|Jul 2024

Abstract

In this article, a Modified Sprott C system is considered. The stability of equilibrium points and the occurrence of Hopf bifurcation in the system are investigated. It has been proved that the system displays a Hopf bifurcation at α = 0. Additionally, by applying normal form theory, the stability, direction and increase (or decrease) of the period of bifurcating periodic solutions of the system are illustrated. It has been shown that the solutions of bifurcating periodic solutions at the bifurcation value α = 0 are unstable. The type of Hopf bifurcation is subcritical and the periods of the bifurcating periodic solutions increase.

DOI: https://doi.org/10.2478/tmmp-2024-0012 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 59 - 72
Submitted on: Dec 28, 2022
Accepted on: Jun 13, 2024
Published on: Jul 19, 2024
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2024 Rizgar H. Salih, Bashdar M. Mohammed, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.